68384051386225 has 81 divisors (see below), whose sum is σ = 91049047007841. Its totient is φ = 50942550628800.

The previous prime is 68384051386213. The next prime is 68384051386267. The reversal of 68384051386225 is 52268315048386.

The square root of 68384051386225 is 8269465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31498932736881 + 36885118649344 = 5612391^2 + 6073312^2 .

It is not a de Polignac number, because 68384051386225 - 2¹⁹ = 68384050861937 is a prime.

It is a super-2 number, since 2×68384051386225² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47921548962 + ... + 47921550388.

Almost surely, 2^{68384051386225} is an apocalyptic number.

68384051386225 is the 8269465-th square number.

68384051386225 is the 4134733-rd centered octagonal number.

It is an amenable number.

68384051386225 is a deficient number, since it is larger than the sum of its proper divisors (22664995621616).

68384051386225 is an frugal number, since it uses more digits than its factorization.

68384051386225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 61.

The spelling of 68384051386225 in words is "sixty-eight trillion, three hundred eighty-four billion, fifty-one million, three hundred eighty-six thousand, two hundred twenty-five".